Class 10MathematicsPair of Linear Equations in Two VariablesMix Examples - Pair of Linear Equations in Two Variables
MediumDevarshi got thrice the marks as obtained by Maharshi in the annual examination of mathematics of standard $10$. The sum of the marks obtained by them was $150$. Represent this situation as a pair of linear equations in two variables.
(N/A) Let Devarshi's marks be $x$ and Maharshi's marks be $y$ in the annual mathematics examination of standard $10$.
According to the problem,Devarshi got thrice the marks obtained by Maharshi:
$x = 3y$
$\therefore x - 3y = 0$ .......... $(1)$
The sum of the marks obtained by Devarshi and Maharshi is $150$:
$x + y = 150$ .......... $(2)$
Thus,the pair of linear equations in two variables representing the given situation is:
$x - 3y = 0$
$x + y = 150$
According to the problem,Devarshi got thrice the marks obtained by Maharshi:
$x = 3y$
$\therefore x - 3y = 0$ .......... $(1)$
The sum of the marks obtained by Devarshi and Maharshi is $150$:
$x + y = 150$ .......... $(2)$
Thus,the pair of linear equations in two variables representing the given situation is:
$x - 3y = 0$
$x + y = 150$
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